Universal Algebras $${\mathcal{U}(V,Q)}$$U(V,Q) for Quadratic Mappings $${Q:V \rightarrow V}$$Q:V→V
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DOI: 10.1007/s00006-016-0707-5
Abstract: Let V be a vector space, and Q a quadratic mapping $${V \rightarrow V}$$V→V. This article studies the (universal) algebra $${\mathcal{U}(V,Q)}$$U(V,Q) generated by the elements $${v \in V}$$v∈V with the relations $${v^2=Q(v)}$$v2=Q(v). The properties of… read more here.
Keywords: algebras mathcal; mapping; mappings rightarrow; universal algebras ... See more keywords
Remarks on Quadratic Mappings
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DOI: 10.1007/s10958-019-4146-4
Abstract: We present several results concerning the geometry and topology of quadratic mappings. The main attention is given to certain basic properties, namely, properness, surjectivity, stability, and topology of fibers. The structure of singular sets, discriminants,… read more here.
Keywords: topological degree; remarks quadratic; geometry; topology ... See more keywords